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Finding the Fourth Proportional to 856.86, 1,285.33 and 240.55

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Solution

The fourth proportional to 856.86, 1,285.33 and 240.55 is: 360.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.86 : 1,285.33 = 240.55 : x
  2. Step 2: Convert to fraction form
    856.86/1,285.33 = 240.55/x
  3. Step 3: Cross multiply
    856.86x = 1,285.33 × 240.55
  4. Step 4: Simplify right side
    856.86x = 309,184.93
  5. Step 5: Solve for x
    x = 309,184.93/856.86
  6. Step 6: Final answer
    x = 360.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.